TSTP Solution File: SET974+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET974+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:56:45 EDT 2023
% Result : Theorem 0.33s 1.37s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET974+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33 % CPULimit : 300
% 0.18/0.33 % WCLimit : 300
% 0.18/0.33 % DateTime : Thu May 18 19:01:35 EDT 2023
% 0.18/0.33 % CPUTime :
% 0.33/1.37
% 0.33/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.37 %-----------------------------------------------------
% 0.33/1.37 ncf(matrix, plain, [(167 ^ _33744) ^ [] : [disjoint(cartesian_product2(156 ^ [], 158 ^ []), cartesian_product2(157 ^ [], 159 ^ []))], (161 ^ _33744) ^ [] : [-(disjoint(156 ^ [], 157 ^ [])), -(disjoint(158 ^ [], 159 ^ []))], (104 ^ _33744) ^ [_37337, _37339] : [in(_37339, _37337), in(_37337, _37339)], (110 ^ _33744) ^ [_37533, _37535] : [-(unordered_pair(_37535, _37533) = unordered_pair(_37533, _37535))], (112 ^ _33744) ^ [_37633, _37635] : [-(set_intersection2(_37635, _37633) = set_intersection2(_37633, _37635))], (114 ^ _33744) ^ [_37733, _37735] : [-(ordered_pair(_37735, _37733) = unordered_pair(unordered_pair(_37735, _37733), singleton(_37735)))], (116 ^ _33744) ^ [_37837, _37839] : [empty(ordered_pair(_37839, _37837))], (118 ^ _33744) ^ [_37933, _37935] : [-(set_intersection2(_37935, _37935) = _37935)], (121 ^ _33744) ^ [] : [-(empty(119 ^ []))], (124 ^ _33744) ^ [] : [empty(122 ^ [])], (126 ^ _33744) ^ [_38224, _38226] : [disjoint(_38226, _38224), -(disjoint(_38224, _38226))], (132 ^ _33744) ^ [_38476, _38478, _38480, _38482, _38484] : [in(_38484, set_intersection2(cartesian_product2(_38482, _38480), cartesian_product2(_38478, _38476))), 137 ^ _33744 : [(138 ^ _33744) ^ [] : [-(_38484 = ordered_pair(135 ^ [_38476, _38478, _38480, _38482, _38484], 136 ^ [_38476, _38478, _38480, _38482, _38484]))], (140 ^ _33744) ^ [] : [-(in(135 ^ [_38476, _38478, _38480, _38482, _38484], set_intersection2(_38482, _38478)))], (142 ^ _33744) ^ [] : [-(in(136 ^ [_38476, _38478, _38480, _38482, _38484], set_intersection2(_38480, _38476)))]]], (144 ^ _33744) ^ [_39156, _39158] : [-(disjoint(_39158, _39156)), -(in(147 ^ [_39156, _39158], set_intersection2(_39158, _39156)))], (151 ^ _33744) ^ [_39391, _39393] : [152 ^ _33744 : [(153 ^ _33744) ^ [_39464] : [in(_39464, set_intersection2(_39393, _39391))]], disjoint(_39393, _39391)], (58 ^ _33744) ^ [_35713, _35715, _35717, _35719] : [-(unordered_pair(_35719, _35715) = unordered_pair(_35717, _35713)), _35719 = _35717, _35715 = _35713], (68 ^ _33744) ^ [_36044, _36046] : [_36046 = _36044, -(singleton(_36046) = singleton(_36044))], (74 ^ _33744) ^ [_36290, _36292, _36294, _36296] : [-(ordered_pair(_36296, _36292) = ordered_pair(_36294, _36290)), _36296 = _36294, _36292 = _36290], (84 ^ _33744) ^ [_36649, _36651, _36653, _36655] : [-(set_intersection2(_36655, _36651) = set_intersection2(_36653, _36649)), _36655 = _36653, _36651 = _36649], (94 ^ _33744) ^ [_36988, _36990, _36992, _36994] : [-(cartesian_product2(_36994, _36990) = cartesian_product2(_36992, _36988)), _36994 = _36992, _36990 = _36988], (2 ^ _33744) ^ [_33888] : [-(_33888 = _33888)], (4 ^ _33744) ^ [_33995, _33997] : [_33997 = _33995, -(_33995 = _33997)], (10 ^ _33744) ^ [_34199, _34201, _34203] : [-(_34203 = _34199), _34203 = _34201, _34201 = _34199], (20 ^ _33744) ^ [_34512, _34514] : [-(empty(_34512)), _34514 = _34512, empty(_34514)], (30 ^ _33744) ^ [_34835, _34837, _34839, _34841] : [-(in(_34839, _34835)), in(_34841, _34837), _34841 = _34839, _34837 = _34835], (44 ^ _33744) ^ [_35259, _35261, _35263, _35265] : [-(disjoint(_35263, _35259)), disjoint(_35265, _35261), _35265 = _35263, _35261 = _35259]], input).
% 0.33/1.37 ncf('1',plain,[153 : in(135 ^ [159 ^ [], 157 ^ [], 158 ^ [], 156 ^ [], 147 ^ [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])]], set_intersection2(156 ^ [], 157 ^ [])), 153 : disjoint(156 ^ [], 157 ^ [])],start(151 ^ 0,bind([[_39391, _39393, _39464], [157 ^ [], 156 ^ [], 135 ^ [159 ^ [], 157 ^ [], 158 ^ [], 156 ^ [], 147 ^ [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])]]]]))).
% 0.33/1.37 ncf('1.1',plain,[-(in(135 ^ [159 ^ [], 157 ^ [], 158 ^ [], 156 ^ [], 147 ^ [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])]], set_intersection2(156 ^ [], 157 ^ []))), in(147 ^ [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])], set_intersection2(cartesian_product2(156 ^ [], 158 ^ []), cartesian_product2(157 ^ [], 159 ^ [])))],extension(132 ^ 3,bind([[_38476, _38478, _38480, _38482, _38484], [159 ^ [], 157 ^ [], 158 ^ [], 156 ^ [], 147 ^ [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])]]]))).
% 0.33/1.37 ncf('1.1.1',plain,[-(in(147 ^ [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])], set_intersection2(cartesian_product2(156 ^ [], 158 ^ []), cartesian_product2(157 ^ [], 159 ^ [])))), -(disjoint(cartesian_product2(156 ^ [], 158 ^ []), cartesian_product2(157 ^ [], 159 ^ [])))],extension(144 ^ 4,bind([[_39156, _39158], [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])]]))).
% 0.33/1.37 ncf('1.1.1.1',plain,[disjoint(cartesian_product2(156 ^ [], 158 ^ []), cartesian_product2(157 ^ [], 159 ^ []))],extension(167 ^ 5)).
% 0.33/1.37 ncf('1.2',plain,[-(disjoint(156 ^ [], 157 ^ [])), -(disjoint(158 ^ [], 159 ^ []))],extension(161 ^ 1)).
% 0.33/1.37 ncf('1.2.1',plain,[disjoint(158 ^ [], 159 ^ []), 153 : in(136 ^ [159 ^ [], 157 ^ [], 158 ^ [], 156 ^ [], 147 ^ [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])]], set_intersection2(158 ^ [], 159 ^ []))],extension(151 ^ 2,bind([[_39391, _39393, _39464], [159 ^ [], 158 ^ [], 136 ^ [159 ^ [], 157 ^ [], 158 ^ [], 156 ^ [], 147 ^ [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])]]]]))).
% 0.33/1.37 ncf('1.2.1.1',plain,[-(in(136 ^ [159 ^ [], 157 ^ [], 158 ^ [], 156 ^ [], 147 ^ [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])]], set_intersection2(158 ^ [], 159 ^ []))), in(147 ^ [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])], set_intersection2(cartesian_product2(156 ^ [], 158 ^ []), cartesian_product2(157 ^ [], 159 ^ [])))],extension(132 ^ 5,bind([[_38476, _38478, _38480, _38482, _38484], [159 ^ [], 157 ^ [], 158 ^ [], 156 ^ [], 147 ^ [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])]]]))).
% 0.33/1.37 ncf('1.2.1.1.1',plain,[-(in(147 ^ [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])], set_intersection2(cartesian_product2(156 ^ [], 158 ^ []), cartesian_product2(157 ^ [], 159 ^ [])))), -(disjoint(cartesian_product2(156 ^ [], 158 ^ []), cartesian_product2(157 ^ [], 159 ^ [])))],extension(144 ^ 6,bind([[_39156, _39158], [cartesian_product2(157 ^ [], 159 ^ []), cartesian_product2(156 ^ [], 158 ^ [])]]))).
% 0.33/1.37 ncf('1.2.1.1.1.1',plain,[disjoint(cartesian_product2(156 ^ [], 158 ^ []), cartesian_product2(157 ^ [], 159 ^ []))],extension(167 ^ 7)).
% 0.33/1.37 %-----------------------------------------------------
% 0.33/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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